Answer: [tex]\$11.5[/tex]
Step-by-step explanation:
You need to analize the information given in the exercise.
You know that the cost of the coffee mug that Joel buys is:
[tex]cost\ coffee=\$10[/tex]
And the Sales tax is the following:
[tex]Sales\ tax=15\%[/tex]
You can make the conversion of the Sales tax from percentage to a decimal number by dividing it by 100. Then, this is:
[tex]Sales\ tax=\frac{15\%}{100}\\\\Sales\ tax=0.15[/tex]
Then, you can write the following equation, where "x" represents the total amount of money (in dollars) that Joel actutally has to pay:
[tex]x=10+(0.15)(10)[/tex]
Finally, you must evaluate in order to find the value of "x". You get that this is:
[tex]x=10+(0.15)(10)\\\\x=10+1.5\\\\x=11.5[/tex]